1. Using the summary statistics and visual inspection of the histogram, describe the differences from the target value during the study period. Answer these questions: What is a typical value? How spread out are the data? What is the shape of the distribution? Are there outliers?

2. Using the 4 simple run chart rules from the Perla, Provost and Murray paper, summarize the results. Specifically, is there any evidence of non-random patterns in the data?And if so, what are they? [There are 25 observations and 6 runs about the median.]

Section 2. Differences from target value. A manufacturer produces a machined part with a target length of 200 mm. After completing maintenance on the production equipment, the staff collect measurements on the differences between samples of machined parts and the target value. Here are the summary statistics and histogram of the differences between the sample results and target value: Statistics Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 Maximum Differences (mm) 25 0 -0.164 0.167 0.835 -1.500 -0.950 -0.300 0.600 1.100 Histogram of Differences (mm) 3 Frequency -10 -OL Differences (mm)Here is the run chart of the differences. Run Chart of Differences (mm) LO 05 Differences (mm) -10 12 15 13 20 22 24 Observation